Answer:
B
Step-by-step explanation:
When using natural logs or base 10 logs, subtraction is used for division and addition for multiplication
ln(4*y^5)
ln(4y^5) = ln4+ lny^5
ln(4y^5) = ln4 + 5*lny
lnx^2
ln x^2 = 2 ln(x)
Combine
ln4 + 5ln(y) / ln (x^2)
ln4 + 5ln(y) - 2 ln(x)
Answer B
[tex]ln \frac{4 {y}^{5} }{ {x}^{2} } = ln4 {y}^{5} - ln {x}^{2}[/tex]
[tex] = ln4 + ln{y}^{5} - 2lnx[/tex]
[tex] = ln4 - 2lnx + 5lny[/tex]
